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404427348 = 2232131750833
BaseRepresentation
bin11000000110110…
…001001001010100
31001012000001000200
4120012301021110
51312013133343
6104044140500
713010401323
oct3006611124
91035001020
10404427348
1119831a286
12b3537730
1365a31830
143b9d80ba
152578a4d3
hex181b1254

404427348 has 72 divisors (see below), whose sum is σ = 1165725288. Its totient is φ = 117116928.

The previous prime is 404427329. The next prime is 404427349. The reversal of 404427348 is 843724404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45400644 + 359026704 = 6738^2 + 18948^2 .

It is a super-2 number, since 2×4044273482 = 327122959620626208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404427349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17461 + ... + 33372.

It is an arithmetic number, because the mean of its divisors is an integer number (16190629).

Almost surely, 2404427348 is an apocalyptic number.

It is an amenable number.

404427348 is an abundant number, since it is smaller than the sum of its proper divisors (761297940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404427348 is a wasteful number, since it uses less digits than its factorization.

404427348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50873 (or 50868 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 404427348 is about 20110.3791112947. The cubic root of 404427348 is about 739.5147463894.

The spelling of 404427348 in words is "four hundred four million, four hundred twenty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 50833 101666 152499 203332 304998 457497 609996 660829 864161 914994 1321658 1728322 1829988 1982487 2592483 2643316 3456644 3964974 5184966 5947461 7777449 7929948 10369932 11234093 11894922 15554898 22468186 23789844 31109796 33702279 44936372 67404558 101106837 134809116 202213674 404427348